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Finding the Fourth Proportional to 10,033.74, 13,838.10 and 7,521.72

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Solution

The fourth proportional to 10,033.74, 13,838.10 and 7,521.72 is: 10,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.74 : 13,838.10 = 7,521.72 : x
  2. Step 2: Convert to fraction form
    10,033.74/13,838.10 = 7,521.72/x
  3. Step 3: Cross multiply
    10,033.74x = 13,838.10 × 7,521.72
  4. Step 4: Simplify right side
    10,033.74x = 104,086,313.53
  5. Step 5: Solve for x
    x = 104,086,313.53/10,033.74
  6. Step 6: Final answer
    x = 10,373.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.